What is the value of x in the figure? (2x+15)°

Answer:

60°

Step-by-step explanation:

if you look on a unit circle the coordinates correspond to (cos, sin) so at 60° they are (1/2, √3/2)

Answer:

d=√((x_2-x_1)²+(y_2-y_1)²)

Step-by-step explanation:

which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points

Answer:

jgh

side side side axioms

not sure

Answer:

[tex]\triangle CAB\cong \triangle ONP[/tex]

Step-by-step explanation:

Triangles [tex]\triangle CAB[/tex] and [tex]\triangle ONP[/tex] share two corresponding angles and the inclusive side between them. This is known as ASA (angle-side-angle) and does prove congruence. Therefore, [tex]\triangle CAB\cong \triangle ONP[/tex].

The four proofs of congruence include SSS (side-side-side), SAS(side-angle-side), ASA (angle-side-angle) and AAS (angle-angle-side). No other pair of triangles demonstrate any of these.

Answer:

[tex]{x}^{2} (x + 3) - 4(x + 3) divided by x + 3[/tex]

Second step

[tex](x {}^{2} - 4)(x + 3) \div (x + 3)[/tex]

The (x+3) brackets cancel each other

Final answer is

[tex]x {}^{2} - 4[/tex]

Answer:

8

24

3

yes

Step-by-step explanation:

the original area of the figure is  4 · 2 which equals 8.

Since the dilation that is needing to be done is by a scale factor of 3 then all we need to do is multiply the original area by 3, which gives us the new area 24.

So because the only transformation was a dilation that didn't significantly change the figure then we can say that both figures are similar.

Answer:

Hello there :)

to find your cordinates simply set everything according to 0 and solve the equation with -b +- square rooted by b ac over b (im sorry i forgot what this equation is called). using +, that is your x point, and solving for - that is your y point.

Step-by-step explanation:

Hope this helps you!

Have a terrific week :)

Answer: Thanks!!                            

Step-by-step explanation:

The ∠1+∠4=180 degree is always true, ∠5-∠7=0 is always true , z⊥y is sometimes true, ∠2≅∠8 is always true and ∠2-∠3=∠1-∠4 be sometimes true.

Arrangement of reference lines or curves used to identify the location of points in space is called coordinate system.

Line x is parallel to line y.

Line z intersects lines x and y.

∠1+∠4=180 degree is always true.

∠5-∠7=0 is always true because the two angles are true.

z⊥y is sometimes true.

∠2≅∠8 is always true because the two angles are congruent.

∠2-∠3=∠1-∠4 will be sometimes true.

Hence, the ∠1+∠4=180 degree is always true, ∠5-∠7=0 is always true , z⊥y is sometimes true, ∠2≅∠8 is always true and ∠2-∠3=∠1-∠4 be sometimes true.

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Answer:

12

Step-by-step explanation:

its a square all sides of the square are the same so 48 divided by 4 is 12

5 points is not a lot of points

Answer:

[tex]2\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{6} +\sqrt{6} =2\sqrt{6}[/tex]

Answer:

12) x = 49.5

13) x = 8.5

14) x = 44.8

15) x = 4.6

Step-by-step explanation:

We can solve for the missing side lengths using trigonometry

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For #12

We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.

That being said we want to create an equation to solve for x

[tex]tan(68)=\frac{x}{20}[/tex]

Now we solve

* multiply each side by 20 *

[tex]20tan(68) = 49.5\\\frac{x}{20} 20=x\\[/tex]

we're left with x = 49.5

It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.

For 13)

[tex]tan(62)=\frac{16}{x} \\[/tex]

*multiply each side by x*

[tex]xtan(62)=16[/tex]

*divide each side by tan(62)

[tex]\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5[/tex]

we're left with x = 6.5

For 14)

[tex]tan(15)=\frac{12}{x}[/tex]

multiply each side by x

[tex]xtan(15)=12[/tex]

divide each side by tan15

[tex]\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8[/tex]

we're left with x = 44.8

For 15)

[tex]tan(74)=\frac{16}{x}[/tex]

multiply each side by x

[tex]xtan(74)=16[/tex]

divide each side by tan(74)

[tex]\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6[/tex]

we're left with x = 4.6

Answer:

16/77 or about 21%

Step-by-step explanation:

P(G,B) = 8/22 x 12/21 = 16/77 (simplified)

Answer:

9.2h+50

Step-by-step explanation:

im not sure if this is correct and im only in middle school but i had this same quetsion and got that snwer

Answer:

6

Step-by-step explanation:

To find the median you simply look for the number in the middle of the list.

In this particular case 1 and 11 are both the fifth number in the series of numbers. When this happens you have to add the two terms together (1+11) and divide by two       (12/2)=6

Answer: The Answer is 90, Girl Got it right !!

Step-by-step explanation:

Answer:

it's an equilateral triangle, so all the angles will be equivalent.

2x + 2x + 2x = 180

6x = 180

x = 30°

Answer:

30

Step-by-step explanation:

So, the solve this, lets first find the type of traingle it is.

Well, all the sides are equal, beign 3, so it must be a equalaterial triangle.

This means both the sides and angles will be the same.

Remember, there are 180 degrees in a triangle.

So we can think of it like this, since there are 3 angles, each being 2x:

6x=180 degrees

Now we can just get x alone by divide by 6:

x=30

So your answer is 30!

I hope this helps! :)

Answer:

the vertex is (-7, -63)

Step-by-step explanation:

x^2 + 14x - y - 14 = 0

x^2 + 14x = y + 14 (to isolate the x)

x^2 + 14x + 49 = y + 14 + 49

(x+7)^2 = y + 63

now we convert to vertex form, which is y = a(x – h)2 + k :

(x+7)^2 = y + 63

y = (x+7)^2 - 63

The vertex in vertex form is shown as (h, k) from y = a(x – h)2 + k, so in this case, h = -7 and k = -63. H is the x-coordinate as shown while k is the y-coordinate. Thus, the vertex is (-7, -63)

Answer:

ok ASAP done ..... for it

Answer:He works 40 hours each week at a rate of $16 per hour.

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

20/50 is 2/5 simplified

Answer:

20/50=2/5

Step-by-step explanation:

0.004 is the probability of getting exactly 0 tails :)

Answer:

[tex]y=10x\text{ or }y=10x+0[/tex]

Step-by-step explanation:

Slope-intercept form is given by [tex]y=mx+b[/tex].

Since Farmer Coraz purchases 10 items every month, he will have [tex]10\cdot x[/tex] items every [tex]x[/tex] months. Since he initially starts out with 0 items, at [tex]x=0[/tex], y is also equal to 0, and thus we have the final equation:

[tex]y=10x\text{ or }y=10x+0[/tex]

*Note: while slope-intercept form is [tex]y=mx+b[/tex], since the value of [tex]b[/tex] is 0, it is possible to omit it from the final equation and both answers should receive credit.

Answer:

Area is 40

perimeter is 26

Step-by-step explanation:

area = l×w

[tex]8 \times 5 = 40[/tex]

Perimeter = 2L +2W

[tex]2 \times 8 + 2 \times 5 \\ 16 + 10 \\ 26[/tex]

Answer:

When measuring land size

Step-by-step explanation:

Answer: For a square or rectangular room, you will first need to measure the length and then the width of the room. Then multiply the length and width. Length x Width = Area. So, if your room measures 11 feet wide x 15 feet long, your total area will be 165 square feet.

Step-by-step explanation:

the following could define the function g: 20. (2.5)ˣ = g(x)

correct option: B

Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function's domain and co-domain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.

h(x) = 20. 4ˣ    (0, 20)

here, g(x) passes through the point (0, 20)

thus, g(x) = 20. aˣ

when x > 0, f(x) < g(x) < h(x)

hence a < 4

so, 20. (2.5)ˣ - 10. 2ˣ > 0

or, 20. (2.5)ˣ = g(x)

correct option: B

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Answer:

Step-by-step explanation:

h and p are the number of history and psych textbooks, respectively.

store sold a total of 411 textbooks in a week.

h + p = 411

The number of history textbooks sold was 69 less than the number of psychology textbooks sold.

h = p - 69

Substitution

(p-69) + p = 411

2p = 411+69

p = 240

h = p-69 = 171

171 history books and 250 psych books

Step-by-step explanation:

see the photo for the answer